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  • NCERT Solutions for Class 12 Maths Chapter-Wise PDF
    • NCERT Solutions Class 12 Maths - Chapter Wise Detail
    • Key Features of NCERT Solutions for Class 12 Maths
    • Benefits of NCERT Solutions for Class 12 Maths
  • NCERT Solutions for Class 12 Maths FAQs
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NCERT Solutions for Class 12 Maths - Free Latest PDF (2025-26)
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NCERT Solutions for Class 12 Maths - Free Latest PDF (2025-26)

By Brijesh Sharma

|

Updated on 4 Jun 2025, 12:14 IST

NCERT Solutions for Class 12 Maths: NCERT Class 12 Maths are essential study materials for students preparing for their board exams and competitive tests like JEE Exam, BITSAT Exam, and more. NCERT Solutions for Class 12 Maths help you understand each chapter in a clear and easy way. These solutions are designed based on the latest CBSE Syllabus Class 12 Maths, so you can prepare well and score better marks.

Whether you're looking for practice questions or step-by-step answers, our Class 12 NCERT Solutions are perfect for your daily study routine preparation. You can also get the complete NCERT Maths Class 12 PDF Free Download from here, which allows you to study offline anytime.

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For students who prefer learning in their regional language, we also provide Class 12 Maths NCERT Solutions in Hindi. This makes it easier to understand difficult concepts and improve problem-solving skills. All these NCERT Solutions are created by experts to help you understand the logic behind each step. So, whether you're preparing for the board exam or competitive tests, these solutions will make your preparation strong and effective.

NCERT Solutions for Class 12 Maths

NCERT Solutions for Class 12 Maths Chapter-Wise PDF

ChaptersNCERT Solutions Class 12 Maths Chapters
Chapter 1Relations and Functions
Chapter 2Inverse Trigonometric Functions
Chapter 3Matrices
Chapter 4Determinants
Chapter 5Continuity and Differentiability
Chapter 6Applications of Derivatives
Chapter 7Integrals
Chapter 8Applications of Integrals
Chapter 9Differential Equations
Chapter 10Vector Algebra
Chapter 11Three-dimensional Geometry
Chapter 12Linear Programming
Chapter 13Probability

Sometimes, students find it hard to understand what is taught in class. To solve this problem, they should search online to clear their doubts. By practicing the topics they find difficult, they can become more confident for their exams. It's important to read the chapter from the NCERT textbook and try solving the exercise questions. This will help them understand the concepts better. Using the NCERT Solutions provided by Infinity Learn will also improve their problem-solving and thinking skills.

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NCERT Solutions Class 12 Maths - Chapter Wise Detail

It is important to study NCERT Solutions Class 12 Maths for board exams and competitive examinations. According to the CBSE syllabus and test structure, the solutions are presented in simple language to aid students. Every Chapter in the most recent NCERT textbook is covered in the solutions. The solutions explain various fundamental concepts to provide accurate information to the students.

NCERT Solutions for Class 12 Maths Chapter 1

This chapter delves into the concepts of relations and functions, exploring their properties and classifications. It discusses various types of functions, their domains, and ranges. The solutions cover topics like one-to-one and onto functions, composition of functions, and inverse functions. Master the basics of algebra with NCERT 12 maths solution Chapter 1: Relations and Functions, designed to clarify fundamental concepts.

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Class 12 Maths NCERT Solutions Chapter 1 Exercise
Exercise 1.1 Class 12 Maths Solutions
Exercise 1.2 Class 12 Maths Solutions
Exercise 1.3 Class 12 Maths Solutions
Exercise 1.4 Class 12 Maths Solutions
Miscellaneous Exercise on Chapter 1 Class 12 Solutions

NCERT Solutions for Class 12 Maths Chapter 2

This chapter focuses on the inverse trigonometric functions and their properties. It covers topics like domain, range, graphs, and properties of these functions. The solutions help students understand how to solve equations involving inverse trigonometric functions. Delve into the complexities of Class 12 Maths Solutions Chapter 2: Inverse Trigonometric Functions, enhancing your analytical skills.

Class 12 Maths NCERT Solutions Chapter 2 Exercise
Exercise 2.1 Class 12 Maths Solutions
Exercise 2.2 Class 12 Maths Solutions
Miscellaneous Exercise on Chapter 2 Class 12 Maths Solutions

NCERT Solutions for Class 12 Maths Chapter 3

Matrices are the central theme of this chapter. Students will learn about matrix operations, types of matrices, and their properties. The solutions cover concepts like matrix multiplication, determinants, and the inverse of a matrix. Unlock the secrets of arrays with Class 12 Maths Solutions Chapter 3: Matrices, featuring detailed explanations and examples.

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Class 12 Maths NCERT Solutions Chapter 3 Exercises
Exercise 3.1 Class 12 Maths Solutions
Exercise 3.2 Class 12 Maths Solutions
Exercise 3.3 Class 12 Maths Solutions
Exercise 3.4 Class 12 Maths Solutions
Miscellaneous Exercise on Chapter 3 Class 12 Solutions

NCERT Solutions for Class 12 Maths Chapter 4

This chapter delves deeper into the concept of determinants, exploring their properties and uses in solving linear equations. The solutions guide students through calculating determinants, using properties to simplify calculations, and solving problems related to them. Understand the principles of Class 12 Maths Solutions Chapter 4: Determinants to solve systems of equations efficiently.

Class 12 Maths NCERT Solutions Chapter 4 Exercises
Exercise 4.1 Class 12 Maths Solutions
Exercise 4.2 Class 12 Maths Solutions
Exercise 4.3 Class 12 Maths Solutions
Exercise 4.4 Class 12 Maths Solutions
Exercise 4.5 Class 12 Maths Solutions
Exercise 4.6 Class 12 Maths Solutions
Miscellaneous Exercise on Chapter 4 Class 12 Solutions

NCERT Solutions for Class 12 Maths Chapter 5

The concepts of continuity and differentiability of functions are explored in this chapter. The solutions cover topics like the definition of continuity, differentiability, and methods to determine whether a function is continuous or differentiable. Gain a thorough understanding of calculus with Class 12 Maths Solutions Chapter 5: Continuity and Differentiability.

Class 12 Maths NCERT Solutions Chapter 5 Exercises
Exercise 5.1 Class 12 Maths Solutions
Exercise 5.2 Class 12 Maths Solutions
Exercise 5.3 Class 12 Maths Solutions
Exercise 5.4 Class 12 Maths Solutions
Exercise 5.5 Class 12 Maths Solutions
Exercise 5.6 Class 12 Maths Solutions
Exercise 5.7 Class 12 Maths Solutions
Exercise 5.8 Class 12 Maths Solutions
Miscellaneous Exercise on Chapter 5 Class 12 Maths Solutions

NCERT Solutions for Class 12 Maths Chapter 6

This chapter delves into the applications of derivatives in various fields. It covers concepts like rate of change, increasing and decreasing functions, maxima and minima, and related rates problems. The solutions provide step-by-step guidance on solving real-world problems using derivatives. Explore practical applications with Class 12 Maths Solutions Chapter 6: Applications of Derivatives, complete with real-world examples.

 Class 12 Maths NCERT Solutions Chapter 6 Exercises
Exercise 6.1 Class 12 Maths Solutions
Exercise 6.2 Class 12 Maths Solutions
Exercise 6.3 Class 12 Maths Solutions
Exercise 6.4 Class 12 Maths Solutions
Exercise 6.5 Class 12 Maths Solutions
Miscellaneous Exercise on Chapter 6 Class 12 Maths Solutions

NCERT Solutions for Class 12 Maths Chapter 7

Integrals and their properties are the focus of this chapter. Students will learn about indefinite and definite integrals, methods of integration, and applications of integrals in finding areas and volumes. The solutions help in understanding integration techniques and their applications. Deepen your integration skills with Class 12 Maths Solutions Chapter 7: Integrals, perfect for complex problem-solving.

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Class 12 Maths NCERT Solutions Chapter 7 Exercises
Exercise 7.1 Class 12 Maths Solutions
Exercise 7.2 Class 12 Math Solutionss
Exercise 7.3 Class 12 Maths Solutions
Exercise 7.4 Class 12 Maths Solutions
Exercise 7.5 Class 12 Maths Solutions
Exercise 7.6 Class 12 Maths Solutions
Exercise 7.7 Class 12 Maths Solutions
Exercise 7.8 Class 12 Maths Solutions
Exercise 7.9 Class 12 Maths Solutions
Exercise 7.10 Class 12 Maths Solutions
Exercise 7.11 Class 12 Maths Solutions
Miscellaneous Exercise on Chapter 7 Class 12 Maths Solutions

NCERT Solutions for Class 12 Maths Chapter 8

Building on the previous chapter, this one focuses on the applications of integrals in practical scenarios. It covers topics like area under curves, area between curves, and applications in finding volumes and lengths of curves. The solutions guide students through solving problems related to these applications. Learn how to apply calculus to real-life scenarios with Class 12 Maths Solutions Chapter 8: Applications of Integrals.

Class 12 Maths NCERT Solutions Chapter 8 Exercises
Exercise 8.1 Class 12 Maths Solutions
Exercise 8.2 Class 12 Maths Solutions
Miscellaneous Exercise on Chapter 8 Class 12 Maths Solutions

NCERT Solutions for Class 12 Maths Chapter 9

This chapter introduces the basics of differential equations and their classifications. It covers concepts like order and degree of differential equations, solutions of differential equations, and their applications. The solutions help students understand the methods to solve different types of differential equations. Tackle complex differential equations using Class 12 Maths Solutions Chapter 9: Differential Equations, with step-by-step methods.

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Class 12 Maths NCERT Solutions Chapter 9 Exercises
Exercise 9.1 Class 12 Maths Solutions
Exercise 9.2 Class 12 Maths Solutions
Exercise 9.3 Class 12 Maths Solutions
Exercise 9.4 Class 12 Maths Solutions
Exercise 9.5 Class 12 Maths Solutions
Exercise 9.6 Class 12 Maths Solutions
Miscellaneous Exercise on Chapter 9 Class 12 Maths Solutions

NCERT Solutions for Class 12 Maths Chapter 10

Vector algebra is the main theme of this chapter. It covers concepts like vectors in space, scalar and vector products, and the geometrical interpretation of vectors. The solutions provide clarity on vector operations and their geometric interpretations. Enhance your understanding of vectors with Class 12 Maths Solutions Chapter 10: Vector Algebra, providing comprehensive solutions.

Class 12 Maths NCERT Solutions Chapter 10 Exercises
Exercise 10.1 Class 12 Maths Solutions
Exercise 10.2 Class 12 Maths Solutions
Exercise 10.3 Class 12 Maths Solutions
Exercise 10.4 Class 12 Maths Solutions
Miscellaneous Exercise on Chapter 10 Class 12 Maths Solutions

NCERT Solutions for Class 12 Maths Chapter 11

This chapter explores three-dimensional space and geometry. It covers topics like direction cosines, direction ratios, equations of lines and planes in space, and the distance between points and lines. The solutions help students grasp the spatial concepts and solve problems related to them. Visualize spatial relationships with Class 12 Maths Solutions Chapter 11: Three-dimensional Geometry, aiding in your geometrical interpretation.

Class 12 Maths NCERT Solutions Chapter 11 Exercises
Exercise 11.1 Class 12 Maths Solutions
Exercise 11.2 Class 12 Maths Solutions
Exercise 11.3 Class 12 Math Solutionss
Miscellaneous Exercise on Chapter 11 Class 12 MathsSolutions

NCERT Solutions for Class 12 Maths Chapter 12

This chapter introduces linear programming as a mathematical method to optimize solutions. It covers topics like linear inequalities, graphical and algebraic methods of solving linear programming problems, and applications in real-life scenarios. The solutions guide students through solving linear programming problems. Simplify optimization problems with Class 12 Maths Solutions Chapter 12: Linear Programming, tailored to help you find efficient solutions.

Class 12 Maths NCERT Solutions Chapter 12 Exercises
Exercise 12.1 Class 12 Maths Solutions
Exercise 12.2 Class 12 Maths Solutions
Miscellaneous Exercise on Chapter 12 Class 12 Maths Solutions

NCERT Solutions for Class 12 Maths Chapter 13

Probability theory is the focus of this chapter. It covers concepts like probability distribution functions, mean and variance of a random variable, and various probability distributions like binomial, Poisson, and normal distributions. The solutions help students understand probability concepts and solve problems involving probability distributions. Master the concepts of chance and data with Class 12 Maths Solutions Chapter 13: Probability, ensuring you're prepared for any uncertainty.

Class 12 Maths NCERT Solutions Chapter 13 Exercises
Exercise 13.1 Class 12 Maths Solutions
Exercise 13.2 Class 12 Maths Solutions
Exercise 13.3 Class 12 Maths Solutions
Exercise 13.4 Class 12 Maths Solutions
Exercise 13.5 Class 12 Maths Solutions
Miscellaneous Exercise on Chapter 13 Class 12 Maths Solutions

Key Features of NCERT Solutions for Class 12 Maths

  • Complete Chapter Coverage: These solutions cover all chapters and topics from the Class 12 Maths syllabus 2025, so you won’t miss anything important.
  • Step-by-Step Explanations: Every answer is explained clearly in steps. This helps you learn how to solve each type of question and understand the process better.
  • Clear and Correct Answers: The solutions are 100% accurate and written in a simple, easy-to-follow format. You won’t get confused while reading them.
  • Lots of Practice Questions: You’ll find solved examples, practice questions, and extra problems for each chapter. This gives you plenty of practice for all types of questions.
  • Focus on Problem Solving: These solutions show smart ways to solve problems. They teach you how to approach different types of maths questions step-by-step.
  • Strong Concept Building: The focus is not just on answers, but also on explaining the ideas behind the answers. This helps you understand the subject deeply.
  • Great for Revision: Use these solutions while revising before exams. They are perfect for quick review and remembering how to solve important questions.

Benefits of NCERT Solutions for Class 12 Maths

  • Builds a Strong Base: These solutions help you understand important maths concepts that will also be useful in higher studies.
  • Perfect for Exam Preparation: They include many types of questions and help you prepare well for your board exams and other tests.
  • Improves Confidence: With clear explanations, you feel more confident while solving problems on your own.
  • Saves Time in Exams: Learning the step-by-step methods helps you solve questions faster and manage your time during the exam.
  • Helps in Real-Life Thinking: These solutions show how to apply maths in different situations, helping you think better and smarter.
  • Matches CBSE Syllabus: All content follows the latest CBSE guidelines, so you study the right material as per the Class 12 Maths syllabus.
  • Easy to Access: You can find the solutions online anytime. Use them for homework, assignments, or revision whenever needed.
  • Extra Study Help: Along with solutions, you can also get useful notes, extra questions, and past year papers for complete preparation.

NCERT Solutions for Class 12 Maths FAQs

What are NCERT Solutions for Class 12 Maths?

NCERT Solutions for Class 12 Maths are comprehensive answers and explanations to the problems and exercises found in the NCERT Class 12 Maths textbook. These solutions assist students in understanding and solving mathematical concepts effectively.

How can NCERT Solutions for Class 12 Maths benefit students?

NCERT Solutions aid students in building a strong conceptual foundation, enhancing problem-solving skills, preparing for exams, and gaining clarity on mathematical concepts. They serve as valuable resources for both learning and revision.

Are NCERT Solutions for Class 12 Maths available for all chapters?

Yes, NCERT Solutions cover all the chapters in the Class 12 Maths textbook. They provide solutions for a variety of exercises, including examples, practice problems, and additional questions from each chapter.

Are NCERT Solutions aligned with the official curriculum?

Yes, NCERT Solutions are designed to be in alignment with the official Class 12 Maths curriculum prescribed by educational boards. This ensures that students are studying relevant and accurate material.

Is NCERT Solutions for Class 12 Maths a recommended reference material for students?

Certainly, NCERT books hold a reputable status as excellent reference materials for Class 12 students. Rote memorization shortly before board exams isn't conducive to high scores. Thus, cultivating a genuine grasp of concepts is paramount for approaching exams with confidence. Dedicate sufficient time daily to solving textbook problems. This practice unveils the spectrum of problems likely to appear in board exams, fostering preparedness and enhancing academic performance.

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